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Finding the Third Proportional to 421,326 and 596,163

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Solution

The third proportional to 421,326 and 596,163 is: 843,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,326 : 596,163 = 596,163 : x
  2. Step 2: Convert to fraction form
    421,326/596,163 = 596,163/x
  3. Step 3: Cross multiply
    421,326x = 596,163 × 596,163
  4. Step 4: Simplify right side
    421,326x = 355,410,322,569
  5. Step 5: Solve for x
    x = 355,410,322,569/421,326
  6. Step 6: Final answer
    x = 843,551.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.